Which of the following are irrational numbers? Multi-select Choices: (A)5 (B)2 (C)sqrt 6 (D)sqrt 5

Identify Choice A: Identify the nature of choice (A) which is the number 5. 5 is a whole number and can be expressed as a fraction 5/1, which means it is a rational number.Identify Choice B: Identify the nature of choice (B) which is the number 2. 2 is also a whole number and can be expressed as a fraction 2/1, which means it is a rational number.Identify Choice C: Identify the nature of choice (C) which is sqrt(6). The square root of 6 cannot be expressed as a fraction of two integers because 6 is not a perfect square. Therefore, sqrt(6) is an irrational number.Identify Choice D: Identify the nature of choice (D) which is sqrt(5). The square root of 5 cannot be expressed as a fraction of two integers because 5 is not a perfect square. Therefore, sqrt(5) is an irrational number.

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Which of the following are irrational numbers? $\newline$ Multi-select Choices: $\newline$ (A) $5$ $\newline$ (B) $2$ $\newline$ (C) $\sqrt{6}$ $\newline$ (D) $\sqrt{5}$

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Math Problems

Algebra 1

Domain and range of quadratic functions: equations

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Q. Which of the following are irrational numbers?

\newline

Multi-select Choices:

\newline

(A)

5

\newline

(B)

2

\newline

(C)

\sqrt{6}

\newline

(D)

\sqrt{5}

Identify Choice A: Identify the nature of choice (A) which is the number $5$ . $5$ is a whole number and can be expressed as a fraction $\frac{5}{1}$ , which means it is a rational number.
Identify Choice B: Identify the nature of choice (B) which is the number $2$ . $2$ is also a whole number and can be expressed as a fraction $\frac{2}{1}$ , which means it is a rational number.
Identify Choice C: Identify the nature of choice (C) which is $\sqrt{6}$ . $\newline$ The square root of $6$ cannot be expressed as a fraction of two integers because $6$ is not a perfect square. Therefore, $\sqrt{6}$ is an irrational number.
Identify Choice D: Identify the nature of choice (D) which is $\sqrt{5}$ . $\newline$ The square root of $5$ cannot be expressed as a fraction of two integers because $5$ is not a perfect square. Therefore, $\sqrt{5}$ is an irrational number.